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Inverse Problems for a Compressible Fluid System (Q3299967)

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Language	Label	Description	Also known as
English	Inverse Problems for a Compressible Fluid System	scientific article

Statements

scholarly article

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Inverse Problems for a Compressible Fluid System (English)

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Springer Proceedings in Mathematics & Statistics

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publication date

27 July 2020

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zbMATH Keywords

compressible viscous fluid

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inverse source problem

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unique continuation

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conditional stability

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Carleman estimate

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Oleg Yurievich Imanuvilov

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Masahiro Yamamoto

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-981-15-1592-7_6

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Integral geometry and inverse problems for kinetic equations

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On the fast solution of evolution equations with a rapidly decaying source term

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An inverse problem for Schrödinger equations with discontinuous main coefficient

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A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem

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Uniqueness and stability in an inverse problem for the Schr dinger equation

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Inverse problem on a tree-shaped network: unified approach for uniqueness

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Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations

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Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems

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Uniqueness and stability in determining the speed of propagation of second-order hyperbolic equation with variable coefficients

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Inverse Problem of Determining the Density and Two Lamé Coefficients by Boundary Data

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Carleman estimate for the Navier–Stokes equations and an application to a lateral Cauchy problem

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Inverse source problem for a transmission problem for a parabolic equation

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Logarithmic stability in determination of a coefficient in an acoustic equation by arbitrary boundary observation

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Lipschitz stability in determining density and two Lamé coefficients

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Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems

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Inverse problem for a parabolic system with two components by measurements of one component

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Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem

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Stability of Discontinuous Diffusion Coefficients and Initial Conditions in an Inverse Problem for the Heat Equation

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Inverse coefficient problems for a transport equation by local Carleman estimate

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A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation

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Inverse source problem for linearized Navier–Stokes equations with data in arbitrary sub-domain

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Inverse problems for a 2 × 2 reaction–diffusion system using a Carleman estimate with one observation

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Logarithmic stability in determination of a 3D viscoelastic coefficient and a numerical example

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Rotated weights in global Carleman estimates applied to an inverse problem for the wave equation

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Local exact controllability for the two- and three-dimensional compressible Navier–Stokes equations

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Inverse viscosity problem for the Navier-Stokes equation

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Inverse problems for the Boussinesq system

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Local exact controllability of the Navier-Stokes system

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Inverse problem for a free transport equation using Carleman estimates

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Stability result for two coefficients in a coupled hyperbolic-parabolic system

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Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

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Stability for Some Inverse Problems for Transport Equations

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Uniqueness of solution of an inverse source problem for ultrahyperbolic equations

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Controllability of parabolic equations

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Remarks on exact controllability for the Navier-Stokes equations

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An inverse problem for the dynamical Lamé system with two sets of boundary data

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Carleman estimates for parabolic equations with nonhomogeneous boundary conditions

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Lipschitz stability in inverse parabolic problems by the Carleman estimate

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Global Lipschitz stability in an inverse hyperbolic problem by interior observations

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GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS

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Determination of a coefficient in an acoustic equation with a single measurement

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Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations

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Carleman estimates for the non-stationary Lamé system and the application to an inverse problem

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Carleman estimates for the Lamé system with stress boundary condition

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An inverse problem and an observability inequality for the Lamé system with stress boundary condition

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Carleman estimate and an inverse source problem for the Kelvin–Voigt model for viscoelasticity

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Inverse problems for partial differential equations

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Carleman estimates and applications to inverse problems

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Uniqueness and Stability of Determining the Residual Stress by One Measurement

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An Inverse Problem for a Dynamical Lamé System with Residual Stress

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On the Cauchy problem for the system of fundamental equations describing the movement of compressible viscous fluid

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Hölder stability estimate in an inverse source problem for a first and half order time fractional diffusion equation

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Lipschitz stability estimates in inverse source problems for a fractional diffusion equation of half order in time by Carleman estimates

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Inverse problems and Carleman estimates

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Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems

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Lipschitz stability of a non-standard problem for the non-stationary transport equation via a Carleman estimate

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Global uniqueness for a coefficient inverse problem for the non-stationary transport equation via Carleman estimate

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Carleman estimates for coefficient inverse problems and numerical applications.

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Lipschitz stability of an inverse problem for an acoustic equation

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An Inverse Problem for Maxwell's Equations in Bi-isotropic Media

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Carleman estimates for the time-fractional advection-diffusion equations and applications

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Carleman estimate and application to an inverse source problem for a viscoelasticity model in anisotropic case

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Global Lipschitz stability in determining coefficients of the radiative transport equation

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Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights

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Carleman estimates for the heat equation with discontinuous diffusion coefficients

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Stability estimate in determination of a coefficient in transmission wave equation by boundary observation

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Recovering a Lamé kernel in a viscoelastic equation by a single boundary measurement

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Carleman estimate for a fractional diffusion equation with half order and application

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Carleman estimates for parabolic equations and applications

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Conditional stability in determining a zeroth-order coefficient in a half-order fractional diffusion equation by a Carleman estimate

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Simultaneous reconstruction of the initial temperature and heat radiative coefficient

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Lipschitz stability in the determination of the principal part of a parabolic equation

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Carleman estimates for the Schrödinger equation and applications to an inverse problem and an observability inequality

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Identifiers

zbMATH Open document ID

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10.1007/978-981-15-1592-7_6

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3299967

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